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Finding the Fourth Proportional to 43,204.16, 64,796.51 and 15,502.16

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Solution

The fourth proportional to 43,204.16, 64,796.51 and 15,502.16 is: 23,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,204.16 : 64,796.51 = 15,502.16 : x
  2. Step 2: Convert to fraction form
    43,204.16/64,796.51 = 15,502.16/x
  3. Step 3: Cross multiply
    43,204.16x = 64,796.51 × 15,502.16
  4. Step 4: Simplify right side
    43,204.16x = 1,004,486,066.21
  5. Step 5: Solve for x
    x = 1,004,486,066.21/43,204.16
  6. Step 6: Final answer
    x = 23,249.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.